457907 has 8 divisors (see below), whose sum is σ = 489984. Its totient is φ = 426888.

The previous prime is 457903. The next prime is 457913. The reversal of 457907 is 709754.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 457907 - 2² = 457903 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (457903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 758 + ... + 1220.

It is an arithmetic number, because the mean of its divisors is an integer number (61248).

2⁴⁵⁷⁹⁰⁷ is an apocalyptic number.

457907 is a deficient number, since it is larger than the sum of its proper divisors (32077).

457907 is a wasteful number, since it uses less digits than its factorization.

457907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529.

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 457907 is about 676.6882590972. The cubic root of 457907 is about 77.0771700616.

The spelling of 457907 in words is "four hundred fifty-seven thousand, nine hundred seven".